Search a number
-
+
5930355456 = 28324167937
BaseRepresentation
bin1011000010111101…
…00000101100000000
3120022022000021022200
411201132200230000
544121132333311
62420244033200
7266650122024
oct54136405400
916268007280
105930355456
112573592913
121196092800
13736822c8c
14403880384
1524a97c556
hex1617a0b00

5930355456 has 216 divisors, whose sum is σ = 17796118704. Its totient is φ = 1897758720.

The previous prime is 5930355451. The next prime is 5930355469. The reversal of 5930355456 is 6545530395.

5930355456 is a `hidden beast` number, since 5 + 93 + 0 + 3 + 554 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5930355451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6328620 + ... + 6329556.

Almost surely, 25930355456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5930355456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898059352).

5930355456 is an abundant number, since it is smaller than the sum of its proper divisors (11865763248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5930355456 is a wasteful number, since it uses less digits than its factorization.

5930355456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The square root of 5930355456 is about 77008.8011593480. The cubic root of 5930355456 is about 1810.0625168928.

The spelling of 5930355456 in words is "five billion, nine hundred thirty million, three hundred fifty-five thousand, four hundred fifty-six".